212.95 is what percent of 292.75 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 292.75 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 292.75, so we can write it down as 100%=292.75.
4. We know, that x% equals 212.95 of the output value, so we can write it down as x%=212.95.
5. Now we have two simple equations:
1) 100%=292.75
2) x%=212.95
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=292.75/212.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 212.95 is what percent of 292.75

100%/x%=292.75/212.95
(100/x)*x=(292.75/212.95)*x       - we multiply both sides of the equation by x
100=1.3747358534867*x       - we divide both sides of the equation by (1.3747358534867) to get x
100/1.3747358534867=x
72.741246797609=x
x=72.741246797609

now we have:
212.95 is 72.741246797609% of 292.75